Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-11-26
J. Phys. A: Math. Theor. 41, 324007 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages, 34 eps-figs included, extensive updates and new results, as to appear in JPA, find related articles at http://www.
Scientific paper
10.1088/1751-8113/41/32/324007
Numerical results for the local field distributions of a family of Ising spin-glass models are presented. In particular, the Edwards-Anderson model in dimensions two, three, and four is considered, as well as spin glasses with long-range power-law-modulated interactions that interpolate between a nearest-neighbour Edwards-Anderson system in one dimension and the infinite-range Sherrington-Kirkpatrick model. Remarkably, the local field distributions only depend weakly on the range of the interactions and the dimensionality, and show strong similarities except for near zero local field.
Boettcher Stefan
Katzgraber Helmut G.
Sherrington David
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